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Finding the Fourth Proportional to 17,140.45, 25,713.89 and 7,781.12

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Solution

The fourth proportional to 17,140.45, 25,713.89 and 7,781.12 is: 11,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.45 : 25,713.89 = 7,781.12 : x
  2. Step 2: Convert to fraction form
    17,140.45/25,713.89 = 7,781.12/x
  3. Step 3: Cross multiply
    17,140.45x = 25,713.89 × 7,781.12
  4. Step 4: Simplify right side
    17,140.45x = 200,082,824.85
  5. Step 5: Solve for x
    x = 200,082,824.85/17,140.45
  6. Step 6: Final answer
    x = 11,673.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.